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Finding the Fourth Proportional to 13,777.43, 20,673.23 and 6,757.34

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Solution

The fourth proportional to 13,777.43, 20,673.23 and 6,757.34 is: 10,139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.43 : 20,673.23 = 6,757.34 : x
  2. Step 2: Convert to fraction form
    13,777.43/20,673.23 = 6,757.34/x
  3. Step 3: Cross multiply
    13,777.43x = 20,673.23 × 6,757.34
  4. Step 4: Simplify right side
    13,777.43x = 139,695,906.86
  5. Step 5: Solve for x
    x = 139,695,906.86/13,777.43
  6. Step 6: Final answer
    x = 10,139.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.